Manuscript Hawk04-D@1 · Hawk04-D-v1.tex · section · 39b16f67
Feedback and logical-input dependence
Stage 3: energy, erasure cost, and a conditional mass law › Feedback and logical-input dependence · lines 1577–1595
A prescribed external gives an input-independent family of quantum channels. A measured record controlling later emissions gives a different adaptive hybrid channel, which is CPTP when the complete instruction tree is specified.
A rule that computes from an unknown input state's expectation and then selects a state-dependent propagator is not automatically a linear quantum channel. It must be replaced by an explicit quantum or classical control implementation, or restricted to an input-independent energy sector. Neither fresh inputs nor input-dependent preparations may be silently inserted while testing one fixed code.
Mass updates must use specified energy increments, not the number of classical bits produced by Enter. An apparatus can generate a record without that record count being an outgoing gravitational energy flux.